Least Common Multiple of 545/665, 6585/822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 545/665, 6585/822 quickly i.e. 717765 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 545/665, 6585/822 is 717765.

LCM(545/665, 6585/822) = 717765

LCM of 545/665, 6585/822

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 545/665,6585/822

Given numbers are 545/665,6585/822

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 545,6585

Least Common Multiple of Numerators i.e. LCM of 545,6585 is 717765.

GCF of Denominators means GCF of 665,822 as per the given fractions.

GCF of 665,822 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 545,6585

LCM of Fractions 545/665,6585/822 is 717765

5 545, 6585
109, 1317

∴ So the LCM of the given numbers is 5 x 109 x 1317 = 717765

Least Common Multiple of 545,6585 with GCF Formula

Least Common Multiple of 545,6585 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 545,6585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(545,6585) = 5

common factors(in case of two or more numbers have common factors) = 1

GCF(545,6585) x common factors =5 x 1 = 5

LCM(545,6585) = ( 545 × 6585 ) / 5

LCM(545,6585) = 3588825 / 5

LCM(545,6585) = 717765


Lets's calculate GCF of 665,822

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 717765/1

Therefore the LCM of Fractions 545/665,6585/822 is 717765

Greatest Common Factor of 665,822 By Matching Biggest Common Factor Method

Greatest Common Factor of 665,822 By Matching Biggest Common Factor Method

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Greatest Common Factor

We found the factors 665,822 . The biggest common factor number is the GCF number.
So the greatest common factor 665,822 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 545/665, 6585/822

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 545/665, 6585/822?

Answer: LCM of Numerators as per given numbers 545/665, 6585/822 is

LCM of Numerators i.e. for 545,6585 is 717765

GCF of denominators i.e. for 665,822 is 1.

Thus, LCM of Fractions is 717765.Finally, LCM of Fractions for 545/665, 6585/822 is 717765.